回転だ円体要素を用いた三次元個別要素法の開発

概要

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A three-dimensional distinct element method using ellipsoidal elements is developed to take account of non-spherical geometry of particles in forming of granular materials. Three-dimensional equations of motion solved for individual elements in a small time step are expressed in vector forms to make the three-dimensional formulation easy. For the detection of the contact between the elements, a polynomial equation derived from the two curved surfaces of the ellipsoids is not solved but a common normal to surfaces of the two elements is iteratively calculated. This leads to a simple treatment and stable solution for the detection. Elastic repulsive and frictional forces for the contact and force for a viscous material among the particles are applied to the elements. As an example of application, three-dimensional alignment of grains in upsetting of a mushy-state cylindrical magnet is simulated. The calculated degree of grain alignment is in good agreement with that obtained by a model experiment using acrylic grains, a plasticine capsule and Vaseline.
一般社団法人日本機械学会の論文
1998-07-25